the volume of a rectangular box or a rectangular prism is obtained by determining the product of length, width and height. In this case, the dimensions are height equal to 2, length equal to x + 2 and width equal to x. Hence 2*x*(x+2) = 96; x is equal to 6 units. the width is 6 units while the length is 8 units.
Answer:
(0,0)
Step-by-step explanation:
if you put the two equations together on a graph, the point where they meet is (0,0)
First, determine
what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).
We then use the formula,

where

represents the

term;
a represents the starting term (so the first number in the set of numbers, which in this case is -6);
n is the term number (
1st,
2nd,
3rd term, etc.);
d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.
To elaborate a bit more, your
1st term is -6,
2nd
is -3,
3rd is 0, etc.
Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.
So, here,

, which can be expanded to:

Therefore,
Divide both sides by 3:
|4x + 6| = 8
Now remove the absolute value:
4x + 6 = 8
or
4x + 6 = -8
Subtract both sides by 6:
4x = 2
or
4x = -14
Divide both sides by 4:
x = 1/2
or
x = -7/2
Final answer: x = 1/2 or x = -7/2